Mechanical Prop...

The radius of an air bubble at the bottom of a lake is r and it becomes 2r when the air bubble rises to the surface of the lake. If P is the atmospheric pressure of water, then the depth (in cm) of the lake is

Two small drops of mercury, each of radius 'r', form a single large drop. The ratio of surface energy before and after this change will be

A liquid drop of radius 'R' breaks into 64 tiny drops, each of radius 'r'. If the surface tension of the liquid is 'T', then the gain in energy is

Bernoulli's principle is based on the law of conservation of

The pressures inside two soap bubbles are 1.01 atm and 1.02 atm. The ratio of their volumes is

In streamline flow of a liquid, the total energy of the liquid is constant at

Radius of one arm of a hydraulic lift is four times the radius of the other arm. What force should be applied on the narrow arm to lift 100 kg?

When a drop of radius R splits into n number of smaller drops, then

A horizontal pipe of cross-sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a cross-sectional diameter 4 cm. What is the velocity of water through the smaller pipe?

A square wire frame of size L is dipped in a liquid. On taking it out, a membrane is formed. If the surface tension of the liquid is T, then the force acting on the frame will be

In a stationary lift, a man is standing with a bucket full of water, having a hole at its bottom. The rate of flow of water through this hole is R₀. If the lift starts to move up and down with the same acceleration such that the water flows at the rate of R_u and R_d, then

What would be the pressure inside a small air bubble of 0.1 mm radius situated just below the water surface? (Surface tension of water = 7.2 x 10^-2 N/m and atmospheric pressure = 1.013 x 10⁵ N/m²)

If the radius of a soap bubble is four times that of another, then the ratio of their excess pressures will be